POJ2488:A Knight's Journey(dfs)

时间:2023-03-08 20:42:26

http://poj.org/problem?id=2488

Description

POJ2488:A Knight's Journey(dfs)Background
The knight is getting bored of seeing the same black and white squares again and again and has decided to make a journey

around the world. Whenever a knight moves, it is two squares in one
direction and one square perpendicular to this. The world of a knight is
the chessboard he is living on. Our knight lives on a chessboard that
has a smaller area than a regular 8 * 8 board, but it is still
rectangular. Can you help this adventurous knight to make travel plans?

Problem

Find a path such that the knight visits every square once. The knight can start and end on any square of the board.

Input

The
input begins with a positive integer n in the first line. The following
lines contain n test cases. Each test case consists of a single line
with two positive integers p and q, such that 1 <= p * q <= 26.
This represents a p * q chessboard, where p describes how many different
square numbers 1, . . . , p exist, q describes how many different
square letters exist. These are the first q letters of the Latin
alphabet: A, . . .

Output

The
output for every scenario begins with a line containing "Scenario #i:",
where i is the number of the scenario starting at 1. Then print a
single line containing the lexicographically first path that visits all
squares of the chessboard with knight moves followed by an empty line.
The path should be given on a single line by concatenating the names of
the visited squares. Each square name consists of a capital letter
followed by a number.

If no such path exist, you should output impossible on a single line.

Sample Input

3
1 1
2 3
4 3

Sample Output

Scenario #1:
A1 Scenario #2:
impossible Scenario #3:
A1B3C1A2B4C2A3B1C3A4B2C4

题目大意:

给出国际象棋的的一个棋盘,里面有一个马,给出所在棋盘的长和宽,问从任意一点开始,能否不重复的走遍棋盘上的每一点,若能就输出一个字符串,其中字母代表行,数字代表列(按字典序搜索),不能就输出impossible

解题思路:

很明显可以用DFS暴力搜索,但是要注意的是,骑士在搜索的时候按字典序的方向搜索。

题目解析:
一直没读懂题,做出来的答案一直和样例不同,后来看题解,说是要按字典序搜索,然后又是N遍WA,(只能说dfs自己学的很渣,递归一会就
递晕了),然后没敢深入思考,别人的代码,都是指dfs了一遍,即dfs(1,1,1),我不知道为什么,只好枚举所有结果,综合来说,算是一道
水题吧,只要知道按字典序搜索就好了。
#include <stdio.h>
#include <iostream>
#include <string.h>
#include <stdlib.h>
using namespace std;
int jx[]= {-,-,-,-,,,,};
int jy[]= {-,,-,,-,,-,};
int m,n,v[][],flag;
char f[*];
int g[*];
void pu()
{
for(int i=; i<=n*m; i++)
{
printf("%c%d",f[i],g[i]);
}
printf("\n");
}
void dfs(int x,int y,int ans)
{
int tx,ty;
if(ans==n*m)
{
f[ans]=x+'A'-;
g[ans]=y;
flag=;
return ;
}
for(int i=; i<; i++)
{
tx=x+jx[i];
ty=y+jy[i];
if(tx>=&&tx<=n&&ty>=&&ty<=m&&v[tx][ty]==)
{
v[tx][ty]=;
f[ans+]=tx+'A'-;
g[ans+]=ty;
dfs(tx,ty,ans+);
if(flag==)
return ;
v[tx][ty]=;
}
}
return ;
}
int main()
{
int T;
scanf("%d",&T);
for(int z=; z<=T; z++)
{
flag=;
scanf("%d%d",&m,&n);
printf("Scenario #%d:\n",z);
for(int i=; i<=n; i++)
{
for(int j=; j<=m; j++)
{
memset(v,,sizeof(v));
v[i][j]=;
f[]=i-+'A';
g[]=j;
dfs(i,j,);
if(flag==)
{
pu();
break;
}
}
if(flag==) break;
}
if(flag==) printf("impossible\n");
printf("\n");
}
return ;
}